Question

How do you write # (2x^2 - 5x + 4) ^2 in standard form?

Answer 1

`4x^4-20x^3-41x^2-40x+16`

Explanation:

`color(blue)((2x^2-5x+4))color(green)((2x^2-5x+4))`

Multiply everything inside the right bracket by everything in the left.

`color(blue)(color(white)(-)2x^2)color(green)((2x^2-5x+4)) -> 4x^4-10x^3+8x^2`
`color(white)(.)color(blue)(-5x)color(green)((2x^2-5x+4)) ->" "-10x^3+25x^2-20x`
`color(white)(..)color(blue)(+4)color(green)((2x^2-5x+4)) ->ul(" "+8x^2-20x+16)`
`" "4x^4-20x^3-41x^2-40x+16`